Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
复制标题
非阿贝尔几何门的非绝热捷径的实验实现
DOI：
10.1103/physrevlett.122.080501
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发表时间：
2019
影响因子：
8.6
通讯作者：
Dapeng Yu
中科院分区：
文献类型：
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作者：
Tongxing Yan;Bao-Jie Liu;Kai Xu;Chao Song;Song Liu;Zhensheng Zhang;Hui Deng;Zhiguang Yan;Hao Rong;Keqiang Huang;Man-Hong Yung;Yuanzhen Chen;Dapeng Yu
当一个量子系统在退化的希尔伯特空间中被缓慢地驱动通过一个参数循环时，它将获得一个非阿贝尔几何相位，这是稳定的，并构成了完整量子计算（HQC）的基础。然而，在绝热极限下，环境退相干成为一个重要的误差源。最近，各种非绝热完整量子计算（NHQC）方案已被提出，但都是以增加对控制误差的敏感性为代价的。另一方面，有理论上的建议，以加快HQC的技术“捷径绝热”（STA），但没有实验证明已被证实，astheseproposals涉及一个复杂的控制四个能级同时进行。在这里，我们提出并实验证明，HQC通过捷径绝热可以构建只有三个能级，使用超导量子位在一个可扩展的架构。在这个方案下，所有完整的单量子比特操作都可以通过一个单周期的状态演化来实现。因此，我们能够在相同的平台上对STA-HQC的稳定性进行实验基准测试。我们的方案的灵活性和简单性使其也可以在其他系统上实现，例如氮空位中心，量子点和核磁共振。最后，我们的方案可以扩展到构建两个量子比特完整纠缠门，导致一个通用的STAHQC门。
When a quantum system is driven slowly through a parametric cycle in a degenerate Hilbert space, the state would acquire a non-Abelian geometric phase, which is stable and forms the foundation for holonomic quantum computation (HQC). However, in the adiabatic limit, the environmental decoherence becomes a significant source of errors. Recently, various nonadiabatic holonomic quantum computation (NHQC) schemes have been proposed, but all at the price of increased sensitivity to control errors. Alternatively, there exist theoretical proposals for speeding up HQC by the technique of “shortcut to adiabaticity”(STA),butnoexperimentaldemonstrationhasbeenreportedsofar,astheseproposalsinvolve a complicated control of four energy levels simultaneously. Here, we propose and experimentally demonstrate that HQC via shortcut to adiabaticity can be constructed with only three energylevels, using a superconducting qubit in a scalable architecture. With this scheme, all holonomic single-qubit operations can be realized nonadiabatically through a single cycle of state evolution. As a result, we are able to experimentallybenchmarkthestabilityofSTAþHQCagainstNHQCinthesameplatform.Theflexibility and simplicity of our scheme makes it also implementable on other systems, such as nitrogen-vacancy center, quantum dots, and nuclear magnetic resonance. Finally, our scheme can be extended to construct two-qubit holonomic entangling gates, leading to a universal set of STAHQC gates..